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• W4381661331 abstract "Abstract We establish the existence of at least two solutions of the Prandtl–Batchelor like elliptic problem driven by a power nonlinearity and a singular term. The associated energy functional is nondifferentiable, and hence the usual variational techniques do not work. We shall use a novel approach in tackling the associated energy functional by a sequence of $C^{1}$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:msup> <mml:mi>C</mml:mi> <mml:mn>1</mml:mn> </mml:msup> </mml:math> functionals and a cutoff function . Our main tools are fundamental elliptic regularity theory and the mountain pass theorem." @default.
• W4381661331 created "2023-06-23" @default.
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• W4381661331 date "2023-06-21" @default.
• W4381661331 modified "2023-10-14" @default.
• W4381661331 title "An elliptic problem of the Prandtl–Batchelor type with a singularity" @default.
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• W4381661331 doi "https://doi.org/10.1186/s13661-023-01747-w" @default.
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